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Finding the Fourth Proportional to 381,582.84, 572,374.30 and 132,264.84

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Solution

The fourth proportional to 381,582.84, 572,374.30 and 132,264.84 is: 198,397.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,582.84 : 572,374.30 = 132,264.84 : x
  2. Step 2: Convert to fraction form
    381,582.84/572,374.30 = 132,264.84/x
  3. Step 3: Cross multiply
    381,582.84x = 572,374.30 × 132,264.84
  4. Step 4: Simplify right side
    381,582.84x = 75,704,995,209.61
  5. Step 5: Solve for x
    x = 75,704,995,209.61/381,582.84
  6. Step 6: Final answer
    x = 198,397.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.